Definition 3.7 (Iterative Bayesian update [1]}) 
Let \(\mathcal {C}\)  be a privacy mechanism that locally obfuscates locations on the discrete space \(\mathcal {X}\)  such that \(\mathcal {C}_{xx^{\prime }}=\mathbb {P}(x^{\prime }|x)\)  for all \(x,x^{\prime }\in \mathcal {X}\) . Let \(X_1,\ldots ,X_n\)  be i.i.d. random variables on \(\mathcal {X}\)  following some PMF \(\pi _{\mathcal {X}}\) . Let \(Y_i\)  denote the random variable of the output when \(X_i\)  is obfuscated with \(\mathcal {C}\)  for all \(i\in \lbrace 1,\ldots ,n\rbrace \) .
